6533b871fe1ef96bd12d1ae5
RESEARCH PRODUCT
Accurate expansion of cylindrical paraxial waves for its straightforward implementation in electromagnetic scattering
Mahin NaserpourMahin NaserpourCarlos J. Zapata-rodríguezsubject
DiffractionHelmholtz equationDifferential equationFOS: Physical sciences02 engineering and technologyPhysics - Classical Physics01 natural sciences010309 opticssymbols.namesake020210 optoelectronics & photonicsOptics0103 physical sciences0202 electrical engineering electronic engineering information engineeringCylindrical coordinate systemSpectroscopyPhysicsRadiationbusiness.industryMathematical analysisParaxial approximationClassical Physics (physics.class-ph)Atomic and Molecular Physics and OpticsExact solutions in general relativitysymbolsbusinessSeries expansionBessel functionOptics (physics.optics)Physics - Opticsdescription
Abstract The evaluation of vector wave fields can be accurately performed by means of diffraction integrals, differential equations and also series expansions. In this paper, a Bessel series expansion which basis relies on the exact solution of the Helmholtz equation in cylindrical coordinates is theoretically developed for the straightforward yet accurate description of low-numerical-aperture focal waves. The validity of this approach is confirmed by explicit application to Gaussian beams and apertured focused fields in the paraxial regime. Finally we discuss how our procedure can be favorably implemented in scattering problems.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2017-05-24 |